Simulations and Predictions

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What is a simulation?

Back

A simulation uses one or more models to imitate how those models might function in a real life situation.

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What is the purpose of using simulations?

Back

Simulations are used to test hypotheses, explore scenarios, and understand complex systems without the risks or costs of real-life experimentation.

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How can you simulate choosing one student out of 12?

Back

You can roll a die and flip a coin.

Tags

CCSS.7.SP.C.8C

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If Samuel has 5 different colors of pens and 2 different colors of paper, how can you model his choices?

Back

You can spin a spinner with 5 sections, then flip a coin.

Tags

CCSS.7.SP.C.8C

Front

What is the probability of selecting a defective TV if the chance is 50%?

Back

The probability of selecting two defective TVs is determined by flipping a coin twice.

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How do you calculate the expected number of girls who like pink if 5 out of 25 do?

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If 5 out of 25 girls like pink, then for 325 girls, you would expect 65 to like pink.

Tags

CCSS.7.SP.A.2

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What is the definition of probability?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

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CCSS.7.SP.C.5

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What is a model in the context of simulations?

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A model is a simplified representation of a system or phenomenon used to understand and predict its behavior.

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What is the difference between a simulation and an experiment?

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A simulation imitates real-life processes, while an experiment tests hypotheses in a controlled environment.

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What does it mean to 'simulate' in mathematics?

Back

To simulate in mathematics means to use random methods to model and analyze complex systems or processes.

Tags

CCSS.7.SP.C.8C